Answer :
The amount of tile the artist requires to cover the triangular prism pedestal made out of wood is 1,176 cm²
What is a triangular prism?
A triangular prism is a polyhedron that has triangular top and base and three rectangular sides.
The required amount of tile can be found from the surface area of the triangular prism pedestal as follows;
The surface area,, A = The area of the two slant rectangular surfaces with dimensions, 30 cm by 10 cm + The area of the rectangle at the base with width of 16 cm and length of 30 cm + The area of the top and bottom triangles with base length of 16 cm and height of 6 cm.
Surface area, A = 2 × 30 cm × 10 cm + 30 cm × 16 cm + 2 × (1/2) × 16 cm × 6 cm
A = 600 cm² + 480 cm² + 96 cm² = 1,176 cm²
The area of the tiles which is the surface area of the triangular prism is 1,176 cm²
Learn more about triangular prisms here: https://brainly.com/question/23491071
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